...except that kind of thing is A) not unique to Haruhi, and B) this one doesn't say "dancho" (Brigade chief), it says "shacho" (company president/CEO).
PresidentOh my, you're embarrassing me, milad- ... president.Scarlet Inc.Ah- Sakuya-kun, how about dinner and such with me at a hotel tonight?
Remilia uses 「わし」(washi) for "I/me" -- a form commonly used by elder/senior men.